THEORICAL AND NUMERICAL ANALYSIS OF THE RAPID POINTWISE STABILIZATION OF COUPLED STRING-BEAM SYSTEMS

Abstract. We consider a pointwise stabilization problem for a coupled wave and plate equations. We prove under rather general assumptions, that such systems can stabilized so as to have arbitrarily high decay rates and are exactly controllable. We propose a numerical approximation of the model and we study numerically the construction of the feedbak law leading to exponential decay with arbtrarily large rate. 1